4431004110401 has 32 divisors (see below), whose sum is σ = 4892238680832. Its totient is φ = 4012950480000.

The previous prime is 4431004110361. The next prime is 4431004110427. The reversal of 4431004110401 is 1040114001344.

It is not a de Polignac number, because 4431004110401 - 2³⁴ = 4413824241217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4431004110431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426421916 + ... + 426432306.

It is an arithmetic number, because the mean of its divisors is an integer number (152882458776).

Almost surely, 2^{4431004110401} is an apocalyptic number.

It is an amenable number.

4431004110401 is a deficient number, since it is larger than the sum of its proper divisors (461234570431).

4431004110401 is a wasteful number, since it uses less digits than its factorization.

4431004110401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 11584 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4431004110401 its reverse (1040114001344), we get a palindrome (5471118111745).

The spelling of 4431004110401 in words is "four trillion, four hundred thirty-one billion, four million, one hundred ten thousand, four hundred one".